10137006041 has 8 divisors (see below), whose sum is σ = 10736467560. Its totient is φ = 9537896448.

The previous prime is 10137006001. The next prime is 10137006053. The reversal of 10137006041 is 14060073101.

10137006041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1375297225 + 8761708816 = 37085^2 + 93604^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10137006041 - 2²⁶ = 10069897177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10137005998 and 10137006016.

It is not an unprimeable number, because it can be changed into a prime (10137006001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27476 + ... + 145013.

It is an arithmetic number, because the mean of its divisors is an integer number (1342058445).

Almost surely, 2^10137006041 is an apocalyptic number.

It is an amenable number.

10137006041 is a deficient number, since it is larger than the sum of its proper divisors (599461519).

10137006041 is a wasteful number, since it uses less digits than its factorization.

10137006041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175963.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 10137006041 its reverse (14060073101), we get a palindrome (24197079142).

The spelling of 10137006041 in words is "ten billion, one hundred thirty-seven million, six thousand, forty-one".